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The phrase "refine the system" is correct and can be used in written English.
You can use it when talking about improving a system in order to make it more efficient or precise. For example, "Our team has been working hard to refine the system so that it works more quickly and accurately."
Exact(16)
Next steps: The researchers plan to refine the system so that it tracks social interactions.
Congreve is working with colleagues at Columbia to refine the system further by manipulating the molecules to upconvert more efficiently, to increase their stability, and explore additional applications.
During the following decade, he continued to refine the system, testing his blind subjects with more and more complex tasks while trying to shrink the enormous contraption into something more manageable.
It was, he concluded, harnessing the incentives of the market that would best serve the interests of the poor - a project that would have us "refine the system" of market incentives, not just shower them with filthy lucre.
Their purpose was "to revise the staging definitions to further clarify and refine the system and develop new nomenclature relevant to pressure related soft tissue injury" (Consensus Conference on Pressure Ulcer Staging, 2016).
Users can refine the system further by training it on specific menu items.
Similar(44)
As well as providing a 3D configuration model of the DEMO tokamak for integrated engineering analysis, the results can also be used to refine the systems code model.
Continued testing and deployment of additional boom systems will help further refine the systems to be more efficient and less disruptive to ocean ecosystems.
So what does refining the system mean?
Before then, leading cryptographers will take their cracks at cracking and refining the system.
By refining the system further, he expects to be able to weigh a zeptogram a thousandth of an attogram.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com